- #1

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## Homework Statement

[tex]\Sigma[/tex] n!(2x-1)[tex]^{}n[/tex]

from n=1 to infinity

## Homework Equations

-ratio test

## The Attempt at a Solution

lim n-> infinity | (n+1)!(2x-1)^(n+1) / n!(2x-1)^n |

lim n-> infinity | (n+1)(2x-1) |

|2x - 1| lim n-> infinity | (n+1) |

-1 < 2x -1 < 1

0 < 2x < 2

0 < x < 1

I know at this point I've done something pretty wrong. as my interval and radius doesnt match up with the back of the book. could use a push in the right direction, thanks.